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5783487880 = 2354113725741
BaseRepresentation
bin1010110001011100…
…10000010110001000
3112221001122121212211
411120232100112020
543321033103010
62353520114504
7263214556462
oct53056202610
915831577784
105783487880
1124a86a0055
121154a65a34
1371227caa1
143cc16d132
1523cb1b08a
hex158b90588

5783487880 has 64 divisors (see below), whose sum is σ = 13428056880. Its totient is φ = 2240409600.

The previous prime is 5783487877. The next prime is 5783487887. The reversal of 5783487880 is 887843875.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1762152484 + 4021335396 = 41978^2 + 63414^2 .

It is not an unprimeable number, because it can be changed into a prime (5783487887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211810 + ... + 237550.

Almost surely, 25783487880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5783487880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714028440).

5783487880 is an abundant number, since it is smaller than the sum of its proper divisors (7644569000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5783487880 is a wasteful number, since it uses less digits than its factorization.

5783487880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25930 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 58.

The square root of 5783487880 is about 76049.2464130973. The cubic root of 5783487880 is about 1794.9951381375.

The spelling of 5783487880 in words is "five billion, seven hundred eighty-three million, four hundred eighty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 137 164 205 274 328 410 548 685 820 1096 1370 1640 2740 5480 5617 11234 22468 25741 28085 44936 51482 56170 102964 112340 128705 205928 224680 257410 514820 1029640 1055381 2110762 3526517 4221524 5276905 7053034 8443048 10553810 14106068 17632585 21107620 28212136 35265170 42215240 70530340 141060680 144587197 289174394 578348788 722935985 1156697576 1445871970 2891743940 5783487880